36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

"Projective Fraisse limit of finite connected graphs with confluent epimorphisms"

Kwiatkowska, Aleksandra

In the talk we discuss properties of the continuum obtained as the topological realisation of the projective Fraisse limit of the family of finite connected graphs with confluent epimorphisms. This continuum turns out to be pointwise self-homeomorphic, each point is the top of the Cantor fan, but it is not homogeneous. Moreover, it is indecomposable, but not hereditarily indecomposable, as arc components are dense. It is one-dimensional, Kelley, hereditarily unicoherent, hence the circle does not embed; nevertheless, solenoids and the pseudo-arc do embed into the continuum. This is joint work with W. Charatonik and R. Roe.

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